ワリード・アルサラムのソースを表示

'''ワリード・アルサラム'''（Waleed Al-Salam、[[1926年]][[7月15日]] - [[1996年]][[4月14日]]）は[[特殊関数]]・[[直交多項式]]を専門とする[[イラク]]の数学者である。[[バグダード]]出身。

==主な業績==
[[直交多項式]]に関する業績としては以下がある<ref>Gasper, G., Rahman, M. (2004). Basic hypergeometric series. [[:en:Cambridge University Press]].</ref><ref>Koekoek, R., Lesky, P. A., & Swarttouw, R. F. (2010). Hypergeometric orthogonal polynomials and their <math>q</math>-analogues. [[:en:Springer Science & Business Media]].</ref>。
* [[:en:Al-Salam–Chihara polynomials]]
* [[:en:Al-Salam–Carlitz polynomials]]
* [[:en:Al-Salam–Ismail polynomials]]
==代表的な論文==
* Al-Salam, W. A.; Chihara, Theodore Seio (1976), "Convolutions of orthonormal polynomials", SIAM Journal on Mathematical Analysis, 7 (1): 16–28.
* Al-Salam, W. A.; Carlitz, L. (1965), "Some orthogonal <math>q</math>-polynomials", Mathematische Nachrichten, 30: 47–61.
* Al-Salam, Waleed A.; Ismail, Mourad E. H. (1983), "Orthogonal polynomials associated with the Rogers–Ramanujan continued fraction", [[:en:Pacific Journal of Mathematics]], 104 (2): 269–283.
* Al-Salam, W. A. (1966). Some fractional <math>q</math>-integrals and <math>q</math>-derivatives. Proceedings of the Edinburgh Mathematical Society, 15(2), 135-140.
* Al-Salam, W. A., & Chihara, T. S. (1987). <math>q</math>-Pollaczek polynomials and a conjecture of Andrews and Askey. SIAM Journal on Mathematical Analysis, 18(1), 228-242.
* Al-Salam, W. A., & Ismail, M. E. (1977). Reproducing kernels for <math>q</math>-Jacobi polynomials. [[:en:Proceedings of the American Mathematical Society]], 67(1), 105-110.
* Al-Salam, W. A., & Ismail, M. E. (1988). <math>q</math>-beta integrals and the <math>q</math>-Hermite polynomials. [[:en:Pacific Journal of Mathematics]], 135(2), 209-221.
* Al-Salam, W. A., & Ismail, M. E. (1994). A <math>q</math>-beta integral on the unit circle and some biorthogonal rational functions. [[:en:Proceedings of the American Mathematical Society]], 121(2), 553-561.
* Al-Salam, W. A., & Verma, A. (1984). On quadratic transformations of basic series. SIAM Journal on Mathematical Analysis, 15(2), 414-421.
==関連文献==
* Chihara, Theodore Seio; Ismail, Mourad E. H. (1998), "In memoriam: Waleed Al-Salam (July 15, 1926–April 13, 1996)", Journal of Approximation Theory, 95 (2): 153–160, ISSN 0021-9045, MR 1652868
* Ismail, Mourad E. H. (1999), "Waleed Al-Salam, 1926–1996", in Diejen, Jan Felipe van; Vinet, Luc (eds.), Algebraic methods and q-special functions. Proceedings of the workshop dedicated to the memory of Waleed Al-Salam held at the Université de Montréal, Montréal, QC, May 21–26, 1996, CRM Proc. Lecture Notes, 22, Providence, R.I.: American Mathematical Society, pp. ix–xi, ISBN 978-0-8218-2026-1, MR 1726825
==出典==
{{reflist}}
==外部リンク==
*[http://math.nist.gov/opsf/personal/waleed.html Waleed Al-Salam 1926-1996]
*{{mathgenealogy|id=36388}}
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{{デフォルトソート:あるさらむ わりいと}}
[[category:特殊関数]]
[[category:20世紀の数学者|260715]]
[[category:イラクの学者]]
[[Category:バグダード出身の人物]]
[[Category:数学に関する記事]]
[[category:1926年生]]
[[category:1996年没]]